On the generalized cube and octahedron functional equations

DOI10.1007/BF02190155zbMath0475.39016OpenAlexW2085971923MaRDI QIDQ1159832

S. H. Smith

Publication date: 1981

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136849

zbMATH Keywords

additive abelian groupcube functional equationoctahedron functional equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99)

Related Items (4)

The octahedron equation implies the cube equation: an elementary proof ⋮ Mean-value type functional equations ⋮ On trigonometric functional equations of rectangular type ⋮ A truncated cube functional equation

Cites Work

• Unnamed Item
• Equivalence of 'cube' and 'octahedron' functional equations
• On a 'cube functional equation'
• Solution of the ‘Cube’ Functional Equation in Terms of ‘Trilinear Coefficients’

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